`f(x) = 4/(x^2 + 1), (-1,2)` Find and evaluate the derivative of the function at the given point.

Textbook Question

Chapter 2, Review - Problem 67 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`f(x) = 4/(x^2 + 1)`

`or, f(x) = 4*(x^2 + 1)^-1`

`thus, f'(x) = -4*(2x)*(x^2 +1)^-2`

`or, f'(x) = -8x/(x^2 +1)^2`

`or, f'(-1) = (-8*-1)/{(-1)^2 + 1}^2`

`or, f'(x) = 8/4 = 2`

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